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Progressions and Series — Revision Notes

XAT · Quantitative Ability & Data Interpretation

Free Progressions and Series revision notes for XAT Quantitative Ability & Data Interpretation 2026 — key concepts, formulas, and definitions for quick revision.

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An infographic defining arithmetic progression, showing how terms increase or decrease by a common difference, with examples of numerical and algebraic APs.
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Revision Notes — Progressions and Series

Key concepts, formulas, and definitions from Progressions and Series for XAT Quantitative Ability & Data Interpretation preparation.

Key Topics to Revise

1

Arithmetic Progressions (AP)

  • An AP is a sequence where each term differs from the previous term by a constant value called common difference (d)
  • General form: a, a+d, a+2d, a+3d, ... where 'a' is the first term
  • The nth term formula: Tn = a + (n-1)d
2

Geometric Progressions (GP)

  • A GP is a sequence where each term is obtained by multiplying the previous term by a constant ratio 'r'
  • General form: a, ar, ar², ar³, ... where 'a' is first term and 'r' is common ratio
  • The nth term formula: Tn = ar^(n-1)
3

Harmonic Progressions (HP)

  • Numbers are in HP if their reciprocals form an AP
  • No direct formula for nth term or sum of HP
  • Convert to AP by taking reciprocals, solve, then convert back
4

Advanced Concepts and Applications

  • Special cases in AP: when sum of m terms equals sum of n terms
  • Different types of GP based on first term sign and ratio value
  • Series with continuously decreasing terms and infinite sums

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Key Concepts

A sequence where each term afterA sequence where each term afterA sequence whose reciprocals formFor two numbers a and bWhen the common ratio |r| <

Frequently Asked Questions

What topics are covered in Progressions and Series for XAT?
Progressions and Series is an important chapter in XAT Quantitative Ability & Data Interpretation. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Arithmetic Progressions (AP), Geometric Progressions (GP), Harmonic Progressions (HP), Advanced Concepts and Applications.
How important is Progressions and Series for XAT?
Progressions and Series is a frequently tested chapter in XAT Quantitative Ability & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 59 practice questions available for this chapter.
How to prepare Progressions and Series for XAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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